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-   -   Probability figured in percentage (https://www.askmehelpdesk.com/showthread.php?t=347878)

  • Apr 30, 2009, 12:28 AM
    Baxter-Dunn1
    probability figured in percentage
    How do you figure out this question? Women make up 23% of the workforce. In a random sample of 392 employees, what is the probability that more than 108 are women. The probability that more than 108 are women is what percentage?
  • Apr 30, 2009, 11:44 AM
    galactus
    Since we are dealing with large numbers, we could use the binomial distribution.

    That is,

    and use the continuity correction.



    Look up the value for z=2.2 in the z table and subtract from 1 because it states "more than".

    Also, if you have a calculator or computer you can use



    The respective results should be close to one another. I checked and they are.

    The latter is cumbersome to compute. That is why we use the short method outlined first.

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